12953628 has 48 divisors (see below), whose sum is σ = 33782560. Its totient is φ = 4292352.

The previous prime is 12953593. The next prime is 12953651. The reversal of 12953628 is 82635921.

12953628 is a `hidden beast` number, since 1 + 29 + 5 + 3 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12953592 and 12953601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29700 + ... + 30132.

Almost surely, 2^12953628 is an apocalyptic number.

12953628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12953628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16891280).

12953628 is an abundant number, since it is smaller than the sum of its proper divisors (20828932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12953628 is a wasteful number, since it uses less digits than its factorization.

12953628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12953628 is about 3599.1148911920. The cubic root of 12953628 is about 234.8535559608.

The spelling of 12953628 in words is "twelve million, nine hundred fifty-three thousand, six hundred twenty-eight".